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Finding the Fourth Proportional to 631.88, 947.86 and 414.80

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Solution

The fourth proportional to 631.88, 947.86 and 414.80 is: 622.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.88 : 947.86 = 414.80 : x
  2. Step 2: Convert to fraction form
    631.88/947.86 = 414.80/x
  3. Step 3: Cross multiply
    631.88x = 947.86 × 414.80
  4. Step 4: Simplify right side
    631.88x = 393,172.33
  5. Step 5: Solve for x
    x = 393,172.33/631.88
  6. Step 6: Final answer
    x = 622.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.